document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184308>Question 1184308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that the equation px^2 + 3px + p + q = 0,where p is not = 0, has two equal real roots,find q in terms of p </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814897 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=px%5E2+%2B+3px+%2B+p+%2B+q+=+0 ALIGN=MIDDLE  ALT=\"px%5E2+%2B+3px+%2B+p+%2B+q+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  has two equal roots, then the left -hand side can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28x+-+alpha%29%5E2+=+0 ALIGN=MIDDLE  ALT=\"p%28x+-+alpha%29%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha ALIGN=MIDDLE  ALT=\"alpha\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the real double root.\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28x-alpha%29%5E2+=+p%28x%5E2+-2%2Aalpha%2Ax+%2B+alpha%5E2%29+=+px%5E2+-2p%2Aalpha%2Ax+%2B+p%2Aalpha%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p+=+-2p%2Aalpha ALIGN=MIDDLE  ALT=\"3p+=+-2p%2Aalpha\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+%2B+q+=+p%2Aalpha%5E2 ALIGN=MIDDLE  ALT=\"p+%2B+q+=+p%2Aalpha%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The first equation implies that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha+=+-3%2F2 ALIGN=MIDDLE  ALT=\"alpha+=+-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+%2B+q+=+%289%2F4%29p ALIGN=MIDDLE  ALT=\"p+%2B+q+=+%289%2F4%29p\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%285%2F4%29p ALIGN=MIDDLE  ALT=\"q+=+%285%2F4%29p\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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